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Finding the Fourth Proportional to 12,017.08, 16,591.76 and 7,832.60

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Solution

The fourth proportional to 12,017.08, 16,591.76 and 7,832.60 is: 10,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,017.08 : 16,591.76 = 7,832.60 : x
  2. Step 2: Convert to fraction form
    12,017.08/16,591.76 = 7,832.60/x
  3. Step 3: Cross multiply
    12,017.08x = 16,591.76 × 7,832.60
  4. Step 4: Simplify right side
    12,017.08x = 129,956,619.38
  5. Step 5: Solve for x
    x = 129,956,619.38/12,017.08
  6. Step 6: Final answer
    x = 10,814.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.